Answer
$x=-\frac{ln(3)}{2ln(5)}$
Work Step by Step
Taking the natural logarithm of each side and using the log rule $log(a^b)=blog(a)$ yields $$-2xln(5)=ln(3)$$ Dividing each side by $-2ln(5)$ gives $x=-\frac{ln(3)}{2ln(5)}$.
Calculus, 10th Edition (Anton)
by Anton, Howard
Published by
Wiley
ISBN 10:
0-47064-772-8
ISBN 13:
978-0-47064-772-1
Chapter 6 - Exponential, Logarithmic, And Inverse Trigonometric Functions - 6.1 Exponential And Logarithmic Functions - Exercises Set 6.1 - Page 419: 25
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